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Finding the Fourth Proportional to 908.42, 1,362.81 and 421.16

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Solution

The fourth proportional to 908.42, 1,362.81 and 421.16 is: 631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.42 : 1,362.81 = 421.16 : x
  2. Step 2: Convert to fraction form
    908.42/1,362.81 = 421.16/x
  3. Step 3: Cross multiply
    908.42x = 1,362.81 × 421.16
  4. Step 4: Simplify right side
    908.42x = 573,961.06
  5. Step 5: Solve for x
    x = 573,961.06/908.42
  6. Step 6: Final answer
    x = 631.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.